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Finding the Third Proportional to 85,663.13 and 187,985.25

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Solution

The third proportional to 85,663.13 and 187,985.25 is: 412,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,663.13 : 187,985.25 = 187,985.25 : x
  2. Step 2: Convert to fraction form
    85,663.13/187,985.25 = 187,985.25/x
  3. Step 3: Cross multiply
    85,663.13x = 187,985.25 × 187,985.25
  4. Step 4: Simplify right side
    85,663.13x = 35,338,454,217.56
  5. Step 5: Solve for x
    x = 35,338,454,217.56/85,663.13
  6. Step 6: Final answer
    x = 412,528.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.